three angles have measured that add to 180° the angles have the following measures: m- angle/klm = (x + 30m-angle/mln = 60° and m-angle/nlp = (2x)° what is an equation to solve for the unknown angle measures? write the equation in simplest terms.
To solve for the unknown angle measures, we can set up the equation:
m∠KLM + m∠MLN + m∠NLP = 180°
Given that:
m∠KLM = (x + 30)°
m∠MLN = 60°
m∠NLP = (2x)°
Plugging in the given angle measures into the equation, we have:
(x + 30) + 60 + (2x) = 180
Simplifying the equation gives:
3x + 90 = 180
Now we can solve for x by subtracting 90 from both sides:
3x = 90
Dividing both sides by 3:
x = 30
Therefore, the equation to solve for the unknown angle measures is:
(x + 30) + 60 + (2x) = 180
Simplified:
x + 30 + 60 + 2x = 180